Investigation in the Simulation of the Human’s Heart Structure from the Mathematical Perspective

Abstract: The present work has been done after a question defined by the author about the approaches of the human’s heart simulation. In this way, the structure and function of the heart have been investigated to understand the anatomy and physiology of the heart. Then, a literature study about the heart simulation has been done to figure out which modeling approaches have been applied in this way and how they have been implemented to represent the heart function. We have realized that lamped parameter, two dimensional and three dimensional models have been applied for this purpose and the Immersed Boundary Method introduced by C.S.Peksin has been considered as a powerful numerical method for simulation of the nonlinear fluid-structure interactions which is the base of one of the advanced three dimensional modeling approaches of the heart function. Besides, some of the applicable tools for the simulation of heart function are addressed.